Least Common Multiple of 822/27, 440/14, 290/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/27, 440/14, 290/400 quickly i.e. 5244360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/27, 440/14, 290/400 is 5244360.

LCM(822/27, 440/14, 290/400) = 5244360

LCM of 822/27, 440/14, 290/400

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 822/27,440/14,290/400

Given numbers are 822/27,440/14,290/400

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 822,440,290

Least Common Multiple of Numerators i.e. LCM of 822,440,290 is 5244360.

GCF of Denominators means GCF of 27,14,400 as per the given fractions.

GCF of 27,14,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,440,290

LCM of Fractions 822/27,440/14,290/400 is 5244360

2 822, 440, 290
5 411, 220, 145
411, 44, 29

∴ So the LCM of the given numbers is 2 x 5 x 411 x 44 x 29 = 5244360

Least Common Multiple of 822,440,290 with GCF Formula

Least Common Multiple of 822,440,290 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 822,440,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,440,290) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(822,440,290) x common factors =2 x 10 = 20

LCM(822,440,290) = ( 822 × 440 × 290 ) / 20

LCM(822,440,290) = 104887200 / 20

LCM(822,440,290) = 5244360


Lets's calculate GCF of 27,14,400

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5244360/1

Therefore the LCM of Fractions 822/27,440/14,290/400 is 5244360

Greatest Common Factor of 27,14,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,14,400 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 27,14,400 . The biggest common factor number is the GCF number.
So the greatest common factor 27,14,400 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 822/27, 440/14, 290/400

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 822/27, 440/14, 290/400?

Answer: LCM of Numerators as per given numbers 822/27, 440/14, 290/400 is

LCM of Numerators i.e. for 822,440,290 is 5244360

GCF of denominators i.e. for 27,14,400 is 1.

Thus, LCM of Fractions is 5244360.Finally, LCM of Fractions for 822/27, 440/14, 290/400 is 5244360.